Local stabilization of the quasiperiodic response of the generalized van der Pol oscillator
Result description
The generalized van der Pol equation is often used for description of various effects originating in the aero-elasticity of large slender engineering structures. This applies mainly to the quasiperiodic beatings that can be encountered especially in lock-in regimes when the vortex frequency becomes close to the structure eigenfrequency with a small detuning. The current paper presents numerical analysis of influence of the subor superharmonic excitation on the character of the response of a generalized van der Pol oscillator. This way it complements two previous papers of the authors dealing with stability analysis of certain types of the stationary periodic or quasiperiodic response of the system under study.
Keywords
generalized van der Pol equationquasiperiodic responsesub- and superharmonic synchronizationbeating effectnumerical simulation
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Local stabilization of the quasiperiodic response of the generalized van der Pol oscillator
Original language description
The generalized van der Pol equation is often used for description of various effects originating in the aero-elasticity of large slender engineering structures. This applies mainly to the quasiperiodic beatings that can be encountered especially in lock-in regimes when the vortex frequency becomes close to the structure eigenfrequency with a small detuning. The current paper presents numerical analysis of influence of the subor superharmonic excitation on the character of the response of a generalized van der Pol oscillator. This way it complements two previous papers of the authors dealing with stability analysis of certain types of the stationary periodic or quasiperiodic response of the system under study.
Czech name
—
Czech description
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Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
20101 - Civil engineering
Result continuities
Project
GA19-21817S: Nonholonomic interaction and dynamical stability of aeroelastic systems
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Engineering mechanics 2019. Book of full texts
ISBN
978-80-87012-71-0
ISSN
1805-8248
e-ISSN
—
Number of pages
4
Pages from-to
105-108
Publisher name
Institute of Thermomechanics of the Czech Academy of Sciences
Place of publication
Prague
Event location
Svratka
Event date
May 13, 2019
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000613255300021
Result type
D - Article in proceedings
OECD FORD
Civil engineering
Year of implementation
2019